Discrete fixed point theorem reconsidered

Takuya Iimura, Kazuo Murota, Akihisa Tamura

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

The aim of this note is to indicate an example that demonstrates the incorrectness of Iimura's discrete fixed point theorem [Iimura, T., 2003. A discrete fixed point theorem and its applications. Journal of Mathematical Economics 39, 725-742] and to present a corrected statement using the concept of integrally convex sets.

Original languageEnglish
Pages (from-to)1030-1036
Number of pages7
JournalJournal of Mathematical Economics
Volume41
Issue number8
DOIs
Publication statusPublished - 2005 Dec

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Fixed point theorem
Economics
Convex Sets
Demonstrate
Concepts
Mathematical economics

Keywords

  • Discrete set
  • Fixed point theorem

ASJC Scopus subject areas

  • Economics and Econometrics
  • Applied Mathematics

Cite this

Discrete fixed point theorem reconsidered. / Iimura, Takuya; Murota, Kazuo; Tamura, Akihisa.

In: Journal of Mathematical Economics, Vol. 41, No. 8, 12.2005, p. 1030-1036.

Research output: Contribution to journalArticle

Iimura, Takuya ; Murota, Kazuo ; Tamura, Akihisa. / Discrete fixed point theorem reconsidered. In: Journal of Mathematical Economics. 2005 ; Vol. 41, No. 8. pp. 1030-1036.
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